EduSahara™ Assignment
Name : Simplifying Expressions
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
3
2
3
-6
=
(i)
6
8
(ii)
3
7
(iii)
1
(iv)
3
8
(v)
3
9
Question
2
2.
(-7)
3
(-7)
3
=
(i)
(-7)
2
(ii)
(-7)
-1
(iii)
-7
1
(iv)
(-7)
-2
(v)
1
Question
3
3.
6
-3
(
5
2
)
6
=
(i)
(
-11
2
)
3
(ii)
(
-11
2
)
8
(iii)
(
-11
2
)
6
(iv)
6
-6
(v)
(
-21
4
)
6
Question
4
4.
(
-3/2
)
(
-2
7
)
(
5/3
)
(
-2
7
)
=
(i)
(
-17/6
)
(
-2
7
)
(ii)
(
-13/4
)
(
-2
7
)
(iii)
(
-19/6
)
(
-4
7
)
(iv)
(
-25/8
)
(
-2
7
)
(v)
(
-19/6
)
(
-2
7
)
Question
5
5.
[
6
-2
]
3
=
(i)
3
-6
(ii)
6
-5
(iii)
6
-7
(iv)
6
-6
(v)
8
-6
Question
6
6.
[
7
3
]
5/4
=
(i)
(
15
4
)
10
(ii)
(
15
4
)
7
(iii)
(
7
2
)
7
(iv)
(
15
4
)
5
(v)
(
9
2
)
7
Question
7
7.
[
(
5
3
)
]
-5
(-4)
=
(i)
(
-25
3
)
(-6)
(ii)
(
-41
5
)
(-4)
(iii)
(
-25
3
)
(-1)
(iv)
(-4)
-9
(v)
(
-25
3
)
(-4)
Question
8
8.
[
(
-4
5
)
]
-2
6
=
(i)
(
8
5
)
3
(ii)
(
8
5
)
9
(iii)
(
8
5
)
6
(iv)
6
2
(v)
(
10
7
)
6
Question
9
9.
[
-3
]
3
(
-7
4
)
=
(i)
-9
(
-7
4
)
(ii)
-10
(
-7
4
)
(iii)
-9
(
-9
4
)
(iv)
-8
(
-7
4
)
(v)
-9
(
-5
4
)
Question
10
10.
[
3
]
4/3
(
-7
2
)
=
(i)
3
(
-7
2
)
(ii)
4
(
-9
2
)
(iii)
4
(
-7
2
)
(iv)
4
(
-5
2
)
(v)
5
(
-7
2
)
Question
11
11.
[
(
5/2
)
]
5
(
8
5
)
=
(i)
(
25/2
)
(
6
5
)
(ii)
(
49/4
)
(
8
5
)
(iii)
(
25/2
)
(
8
5
)
(iv)
13
(
8
5
)
(v)
(
25
2
)
2
Question
12
12.
[
(
-3/4
)
]
3
(
-2
9
)
=
(i)
(
-9/4
)
(
-2
9
)
(ii)
(
-13/6
)
(
-2
9
)
(iii)
(
-7/4
)
(
-2
9
)
(iv)
(
-5/2
)
(
-2
9
)
(v)
(
-9/4
)
(
-4
9
)
Question
13
13.
Simplify the expression
6
3
✕
6
3
✕
6
3
(i)
8
9
(ii)
6
10
(iii)
6
9
(iv)
3
9
(v)
6
8
Question
14
14.
Simplify the expression
5
-8
✕
5
-8
✕
5
-8
(i)
5
-24
(ii)
7
-24
(iii)
5
-23
(iv)
2
-24
(v)
5
-25
Question
15
15.
Simplify the expression
(-4)
7
✕
(-4)
7
(i)
(-4)
15
(ii)
(-1)
14
(iii)
(-6)
14
(iv)
(-4)
13
(v)
(-4)
14
Question
16
16.
Simplify the expression
(-9)
-9
✕
(-9)
-9
(i)
(-9)
-17
(ii)
(-11)
-18
(iii)
(-6)
-18
(iv)
(-9)
-18
(v)
(-9)
-19
Question
17
17.
Simplify
(-5)
-2
4
-2
(i)
2
(
6
5
)
(ii)
4
5
(iii)
3
(
4
5
)
(iv)
2
(
4
5
)
(v)
2
(
2
5
)
Question
18
18.
Simplify
(-2)
2
✕
(-5)
2
4
2
✕
(-5)
-2
(i)
2
(
27
2
)
(ii)
2
(
25
2
)
(iii)
3
(
25
2
)
(iv)
25
2
(v)
2
(
23
2
)
Question
19
19.
Simplify
(-3)
-2
✕
(-2)
2
✕
5
2
4
2
✕
5
-2
✕
(-4)
-2
(i)
2
(
50
3
)
(ii)
50
3
(iii)
3
(
50
3
)
(iv)
2
(
52
3
)
(v)
16
2
Question
20
20.
Simplify
3
-2
✕
4
-2
✕
4
2
✕
4
2
2
-2
✕
(-5)
-2
✕
(-3)
2
✕
2
2
(i)
3
(
20
9
)
(ii)
2
(
22
9
)
(iii)
2
(
20
9
)
(iv)
20
9
(v)
2
2
Question
21
21.
Simplify
(-3)
-3
✕
(-2)
2
3
-2
✕
(-5)
-2
(i)
-1
✕
2
2
✕
5
2
1
(ii)
-1
✕
2
2
✕
5
3
3
(iii)
-1
✕
2
2
✕
5
2
3
(iv)
-1
✕
2
✕
5
2
3
(v)
-1
✕
2
2
✕
5
2
5
Question
22
22.
Simplify
(-5)
-2
✕
2
-2
✕
(-2)
-3
4
2
✕
(-5)
3
✕
4
-2
(i)
10
-4
(ii)
10
-6
(iii)
13
-5
(iv)
7
-5
(v)
10
-5
Question
23
23.
Simplify
4
2
✕
3
3
✕
5
2
3
2
✕
3
2
✕
3
2
✕
5
2
(i)
2
4
1
(ii)
2
3
3
3
(iii)
2
4
3
3
(iv)
2
5
3
3
(v)
2
4
5
3
Question
24
24.
Simplify
(-3)
-2
✕
4
-2
✕
(-4)
-2
✕
(-4)
-3
5
-3
✕
4
-3
✕
(-4)
-2
(i)
-1
✕
2
10
✕
5
3
4
14
✕
3
2
(ii)
-1
✕
2
10
✕
5
3
2
14
✕
3
2
(iii)
-1
✕
2
10
✕
5
4
2
14
✕
3
2
(iv)
-1
✕
2
10
✕
5
2
2
14
✕
3
2
(v)
-1
✕
2
10
✕
5
3
(-1)
14
✕
3
2
Question
25
25.
Which of the following statements are true?
a)
a
m
.
a
n
=
a
m
n
b)
a
.
x
m
=
a
m
.
x
m
c)
a
0
=
1
(
a
≠
0)
d)
(
x
m
)
n
=
(
x
n
)
m
e)
x
m
x
n
=
x
m
n
f)
(
x
m
)
n
=
x
(
m
+
n
)
(i)
{c,d}
(ii)
{b,d}
(iii)
{e,f,c}
(iv)
{a,d,c}
(v)
{a,c}
Question
26
26.
Find the reciprocal of
9
8
(i)
8
(
-1
9
)
(ii)
9
(
1
9
)
(iii)
8
(
1
9
)
(iv)
8
(
1
3
)
(v)
7
(
1
9
)
Question
27
27.
Find the reciprocal of
6
(
-3
7
)
(i)
5
(
-7
3
)
(ii)
(-3)
6
(iii)
6
(
-5
3
)
(iv)
7
(
-7
3
)
(v)
6
(
-7
3
)
Question
28
28.
(
9
4
✕
2
7
)
6
=
(i)
9
4
✕
2
42
(ii)
9
4
✕
2
7
(iii)
9
24
✕
2
42
(iv)
9
24
✕
2
7
(v)
9
42
✕
2
24
Question
29
29.
(
7
2
)
4
✕
(
10
(-3)
)
-5
✕
(
12
(-2)
)
-6
(
7
2
)
6
✕
(
10
3
)
-3
✕
(
12
(-6)
)
-5
=
(i)
7
(-4)
✕
10
24
✕
12
(-17)
(ii)
7
(-4)
✕
10
24
✕
12
(-18)
(iii)
7
(-4)
✕
10
25
✕
12
(-18)
(iv)
7
(-3)
✕
10
24
✕
12
(-18)
Question
30
30.
[
(
6
2
)
2
✕
(
6
5
)
2
]
÷
6
14
(i)
2
(ii)
4
(iii)
0
(iv)
1
(v)
6
Question
31
31.
[
-2
(
4
8
)
✕
-2
(
7
3
)
]
÷
[
2
(
8
4
)
✕
2
(
3
7
)
]
=
(i)
1
(ii)
7
3
(iii)
0
(iv)
(-1)
(v)
4
8
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (v)
5) (iv)
6) (ii)
7) (v)
8) (iii)
9) (i)
10) (iii)
11) (iii)
12) (i)
13) (iii)
14) (i)
15) (v)
16) (iv)
17) (iv)
18) (ii)
19) (i)
20) (iii)
21) (iii)
22) (v)
23) (iii)
24) (ii)
25) (i)
26) (iii)
27) (v)
28) (iii)
29) (ii)
30) (iv)
31) (i)
